Methods of Fourier Analysis and Approximation Theory

Front Matter....Pages i-viii
Some Problems in Fourier Analysis and Approximation Theory....Pages 1-19
Front Matter....Pages 21-21
Parseval Frames with n + 1 Vectors in   \\(\\mathbb{R}^{n}\\)   ....Pages 23-32
Hyperbolic Hardy Classes and Logarithmic Bloch Spaces....Pages 33-42
Multidimensional Extremal Logan’s and Bohman’s Problems....Pages 43-58
Weighted Estimates for the Discrete Hilbert Transform....Pages 59-69
 Q-Measures on the Dyadic Group and Uniqueness Sets for Haar Series....Pages 71-83
Off-Diagonal and Pointwise Estimates for Compact Calderón-Zygmund Operators....Pages 85-112
Front Matter....Pages 113-113
Elementary Proofs of Embedding Theorems for Potential Spaces of Radial Functions....Pages 115-138
On Leray’s Formula....Pages 139-146
Front Matter....Pages 147-147
Order of Approximation of Besov Classes in the Metric of Anisotropic Lorentz Spaces....Pages 149-159
Analogues of Ulyanov Inequalities for Mixed Moduli of Smoothness....Pages 161-179
Reconstruction Operator of Functions from the Sobolev Space....Pages 181-191
Front Matter....Pages 193-193
Laplace–Borel Transformation of Functions Holomorphic in the Torus and Equivalent to Entire Functions....Pages 195-209
Optimization Control Problems for Systems Described by Elliptic Variational Inequalities with State Constraints....Pages 211-224
Two Approximation Methods of the Functional Gradient for a Distributed Optimization Control Problem....Pages 225-235
Numerical Modeling of the Linear Relaxational Filtration by Monte Carlo Methods....Pages 237-258